5.find the roots of the parabola given by the following equation.
2x2+ 5x - 9 = 2x
6.solve the inequality and graph the solution on a number line.
–3(5y – 4) ≥ 17

Part 5) The roots are x=-3 and x=1.5

Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)

Step-by-step explanation:

Part 5) Find the roots of the parabola given by the following equation

we know that

The formula to solve a quadratic equation of the form is equal to

in this problem we have

so

substitute in the formula

therefore

The roots are x=-3 and x=1.5

Part 6) Solve the inequality and graph the solution on a number line.

Solve for y

Subtract 12 both sides

Multiply by -1 both sides

Divide by 15 both sides

The solution is the interval -----> (-∞, -1/3]

All  real numbers less than or equal to negative one third

The solution on a number line is the shading area below of the line y=-1/3 (close circle)

The graph in the attached figure

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step-by-step explanation: